\begin{tikzpicture}[>=Stealth, scale=0.5,
    every node/.style={fill=white, inner sep=1pt},
]
    \draw [->] (-6, 0) -- (6, 0) node[below=0.2em] {$x$};
    \draw [->] (0, -6) -- (0, 6) node[right=0.2em] {$y$};
    \draw (0, 0) node [below left=0.3em] {\small $O$};
    \foreach \x in {-5, ..., 5} {
        \draw (\x, 0) -- (\x, 0.2);
    }
    \foreach \y in {-5, ..., 5} {
        \draw (0, \y) -- (0.2, \y);
    }

    \draw[domain=1.7:-1.7, samples=10] plot (\x, {-3*\x}) node [above] {$y = -3x$};
    \draw[domain=4.0:-4.0, samples=10] plot (\x, {-\x})   node [above] {$y = x$};
    \draw[domain=5.2:-5.2, samples=10] plot (\x, {-\x/4}) node [above] {$y = -\frac{1}{4}x$};
    \draw [fill=black] (0, 0) circle(0.1);
    \draw [fill=black] (1, -3)  circle(0.1) node [right=3pt] {\small $A$};
    \draw [fill=black] (2, -2)  circle(0.1) node [right=3pt] {\small $B$};
    \draw [fill=black] (4, -1)  circle(0.1) node [above=3pt] {\small $C$};
\end{tikzpicture}

